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2226048672 = 25360738201
BaseRepresentation
bin1000010010101110…
…1100111010100000
312202010200222201010
42010223230322200
514024332024142
61004515540520
7106110046551
oct20453547240
95663628633
102226048672
11a42601351
125215ba740
13296251c83
141718dc328
15d0664e9c
hex84aecea0

2226048672 has 48 divisors (see below), whose sum is σ = 5853157632. Its totient is φ = 740774400.

The previous prime is 2226048667. The next prime is 2226048677. The reversal of 2226048672 is 2768406222.

It is an interprime number because it is at equal distance from previous prime (2226048667) and next prime (2226048677).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22260486722 = 9910585380225927168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2226048672.

It is not an unprimeable number, because it can be changed into a prime (2226048677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39172 + ... + 77372.

It is an arithmetic number, because the mean of its divisors is an integer number (121940784).

Almost surely, 22226048672 is an apocalyptic number.

It is an amenable number.

2226048672 is an abundant number, since it is smaller than the sum of its proper divisors (3627108960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2226048672 is a wasteful number, since it uses less digits than its factorization.

2226048672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38821 (or 38813 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2226048672 is about 47181.0202517919. The cubic root of 2226048672 is about 1305.7044531183.

The spelling of 2226048672 in words is "two billion, two hundred twenty-six million, forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 607 1214 1821 2428 3642 4856 7284 9712 14568 19424 29136 38201 58272 76402 114603 152804 229206 305608 458412 611216 916824 1222432 1833648 3667296 23188007 46376014 69564021 92752028 139128042 185504056 278256084 371008112 556512168 742016224 1113024336 2226048672